1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
drek231 [11]
2 years ago
11

oscar bought some markers notebooks and packs of sticky notes for his office he bought the same number of markers as notebooks h

e bought three more packs of sticky notes than markers and notebooks combined he paid $1.05 for each marker $2.25 for each notebook, and the packs for sticky notes were $1.95. how many of each kind of office supply did oscar buy if he paid $49.05 in all?
Mathematics
1 answer:
s2008m [1.1K]2 years ago
4 0

The number of each kind of office supply oscar bought is = markers= (43.2 - 4.2y)/3 notebooks = (43.2-3x)/4.2, sticky notes = [43.2 - 4.2y)/3 + (43.2-3x)/4.2] + 3.

<h3>Calculation of total office supply</h3>

The number of markers he bought = X

The number of notebooks he bought= y

The number of sticky notes he bought= z= 3 + X+y

The amount he paid for markers = $1.05*X

The amount he paid for notebooks = $2.25*y

The amount he paid for sticky notes= $1.95 (3 + X+y)

The total amount he paid is = $49.05

That is;

$49.05 = $1.05x + $2.25y + $1.95 (3 + X+y)

$49.05 = $1.05x + $2.25y + $5.85 + $1.95x + $1.95y

$49.05 - $5.85 = 3x + 4.2y

$43.2 = 3x + 4.2y

Make X the subject of formula,

3x = 43.2 - 4.2y

X = (43.2 - 4.2y)/3

y= (43.2-3x)/4.2

z = [43.2 - 4.2y)/3 + (43.2-3x)/4.2] + 3

Learn more about addition here:

brainly.com/question/4721701

#SPJ1

You might be interested in
What’s is the slope of the lin
Lady bird [3.3K]

Answer:

1/3

Step-by-step explanation:

<em>Method 1.</em>

slope = rise/run

Rise is vertical distance.

Run is horizontal distance.

Find two points that are easy to read (on grid intersections):

(2, -1) and (5, 0).

Start at (2, 1). You need to go to (5, 0) by moving only vertically and horizontally. Go up 1 unit. That is a rise of 1. Now go right 3 units. That is a run of 3.

rise = 1

run = 3

slope = rise/run = 1/3

<em>Method 2.</em>

Use the slope formula and two points on the line.

slope = m = \dfrac{y_2 - y_1}{x_2 - x_1}

Use points (2, -1) and (5, 0).

slope = m = \dfrac{0 - (-1)}{5 - 2}

slope = m = \dfrac{0 + 1}{3}

slope = m = \dfrac{1}{3}

slope = 1/3

8 0
3 years ago
Help! It is my Chinese school homework!
Tresset [83]

Answer:

.

Step-by-step explanation:

8 0
3 years ago
Select which form to use when you know the slope of the line and one of the points on the line. a. horizontal line c. slope-inte
Cloud [144]

The form which should be used when you know the slope of a line and one of the points on the line is: d. point-slope form.

<h3>What is the point-slope form?</h3>

The point-slope form can be defined as an equation which is used when the slope of a line and one of the points on this line is known.

Mathematically, the point-slope form of a line is given by:

y - y₁ = m(x - x₁)

<u>Where:</u>

  • m is the slope.
  • x and y are the points.

In conclusion, you should use the point-slope form when you know the slope of a line and one of the points on the line is given.

Read more on point-slope form here: brainly.com/question/24907633

#SPJ1

6 0
2 years ago
Solve the equation for exact solutions over the interval​ [0, 2π​).
quester [9]

Answer:

\displaystyle x=\left\{0, \frac{2\pi}{3}, \frac{4\pi}{3}\right\}

Step-by-step explanation:

We want to solve the equation:

-2\cos^2(x)=-\cos(x)-1

Over the interval [0, 2π).

First, notice that this is in quadratic form. So, to make things simpler, we can let <em>u</em> = cos(x). Substitute:

-2u^2=-u-1

Rearrange:

2u^2-u-1=0

Factor:

(2u+1)(u-1)=0

Zero Product Property:

2u+1=0\text{ or } u-1=0

Solve for each case:

\displaystyle u=-\frac{1}{2}\text{ or } u=1

Back-substitute:

\displaystyle \cos(x)=-\frac{1}{2}\text{ or } \cos(x)=1

Using the unit circle:

\displaystyle x=\left\{0, \frac{2\pi}{3}, \frac{4\pi}{3}\right\}

7 0
3 years ago
Hi, I have a problem with homework can anyone help me, please?<br> f(x) =x3·ln (2x) + 7 sin(7)
dsp73

2(3x)+7sin(7)

=6x+7sin(7)

this is all i could do

4 0
3 years ago
Other questions:
  • Can someone help me? I pick brainlest
    10·2 answers
  • Help me plz give the right awenser
    10·1 answer
  • ABC bank requires a 20% down payment on all of its home loans if a house is priced at 185000 what is the amount of the down paym
    8·1 answer
  • An irrational number between 5/7 and 7/9 is?
    8·1 answer
  • Can somebody please give me an example of simplifying fractions? its for my math project.
    15·2 answers
  • Jose paid $875 on TV. The sales tax was 8%. How much money did he pay in sales tax?
    11·1 answer
  • Can somebody help me out pleaseeee ??
    10·2 answers
  • Evaluate 5+ when each number is placed in the box
    7·1 answer
  • A clerk has 4 different letters that need to go in 4 different envelopes. What is the probability that all 4 letters are put in
    11·1 answer
  • <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D" id="TexFormula1" title="\sqrt{x}" alt="\sqrt{x}" align="absmiddle" class="late
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!